5361168400 has 135 divisors (see below), whose sum is σ = 15011801181. Its totient is φ = 1834600320.

The previous prime is 5361168367. The next prime is 5361168401. The reversal of 5361168400 is 48611635.

It is a happy number.

The square root of 5361168400 is 73220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1930020624 + 3431147776 = 43932^2 + 58576^2 .

It is a super-2 number, since 2×5361168400² = 57484253226317120000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5361168401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10250539 + ... + 10251061.

Almost surely, 2^5361168400 is an apocalyptic number.

5361168400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5361168400 is the 73220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5361168400

5361168400 is an abundant number, since it is smaller than the sum of its proper divisors (9650632781).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5361168400 is an equidigital number, since it uses as much as digits as its factorization.

5361168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The cubic root of 5361168400 is about 1750.1951782309.

The spelling of 5361168400 in words is "five billion, three hundred sixty-one million, one hundred sixty-eight thousand, four hundred".